Information on Result #730032
Linear OA(6436, 823, F64, 19) (dual of [823, 787, 20]-code), using construction XX applied to C1 = C([818,16]), C2 = C([0,17]), C3 = C1 + C2 = C([0,16]), and C∩ = C1 ∩ C2 = C([818,17]) based on
- linear OA(6434, 819, F64, 18) (dual of [819, 785, 19]-code), using the BCH-code C(I) with length 819 | 642−1, defining interval I = {−1,0,…,16}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6434, 819, F64, 18) (dual of [819, 785, 19]-code), using the expurgated narrow-sense BCH-code C(I) with length 819 | 642−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6436, 819, F64, 19) (dual of [819, 783, 20]-code), using the BCH-code C(I) with length 819 | 642−1, defining interval I = {−1,0,…,17}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(6432, 819, F64, 17) (dual of [819, 787, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 819 | 642−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.